3p-3(4-2p)=5(p-3)-29

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Solution for 3p-3(4-2p)=5(p-3)-29 equation: 


Simplifying
3p + -3(4 + -2p) = 5(p + -3) + -29
3p + (4 * -3 + -2p * -3) = 5(p + -3) + -29
3p + (-12 + 6p) = 5(p + -3) + -29

Reorder the terms:
-12 + 3p + 6p = 5(p + -3) + -29

Combine like terms: 3p + 6p = 9p
-12 + 9p = 5(p + -3) + -29

Reorder the terms:
-12 + 9p = 5(-3 + p) + -29
-12 + 9p = (-3 * 5 + p * 5) + -29
-12 + 9p = (-15 + 5p) + -29

Reorder the terms:
-12 + 9p = -15 + -29 + 5p

Combine like terms: -15 + -29 = -44
-12 + 9p = -44 + 5p

Solving
-12 + 9p = -44 + 5p

Solving for variable 'p'.

Move all terms containing p to the left, all other terms to the right.

Add '-5p' to each side of the equation.
-12 + 9p + -5p = -44 + 5p + -5p

Combine like terms: 9p + -5p = 4p
-12 + 4p = -44 + 5p + -5p

Combine like terms: 5p + -5p = 0
-12 + 4p = -44 + 0
-12 + 4p = -44

Add '12' to each side of the equation.
-12 + 12 + 4p = -44 + 12

Combine like terms: -12 + 12 = 0
0 + 4p = -44 + 12
4p = -44 + 12

Combine like terms: -44 + 12 = -32
4p = -32

Divide each side by '4'.
p = -8

Simplifying
p = -8

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